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- 1.0561934 - ÚJF 2023 RIV US eng J - Journal Article
Khrabustovskyi, Andrii - Plum, M.
Operator estimates for homogenization of the Robin Laplacian in a perforated domain.
Journal of Differential Equations. Roč. 338, NOV (2022), s. 474-517. ISSN 0022-0396. E-ISSN 1090-2732
R&D Projects: GA ČR(CZ) GA21-07129S
Institutional support: RVO:61389005
Keywords : Homogenization * Perforated domain * Norm resolvent convergence * Operator estimates * Spectral convergence * Varying Hilbert spaces
OECD category: Pure mathematics
Impact factor: 2.4, year: 2022
Method of publishing: Limited access
https://doi.org/10.1016/j.jde.2022.08.005
Permanent Link: https://hdl.handle.net/11104/0334363 - 2.0560991 - ÚJF 2024 RIV SG eng J - Journal Article
Borisov, D. I. - Exner, Pavel
Approximation of point interactions by geometric perturbations in two-dimensional domains.
Bulletin of Mathematical Sciences. Roč. 13, č. 2 (2023), č. článku 2250003. ISSN 1664-3607. E-ISSN 1664-3615
R&D Projects: GA ČR(CZ) GA21-07129S
Institutional support: RVO:61389005
Keywords : Singular Schrodinger operator * point interaction * norm resolvent convergence * small hole * Robin condition
OECD category: Pure mathematics
Impact factor: 1.2, year: 2022
Method of publishing: Open access
https://doi.org/10.1142/S1664360722500035
Permanent Link: https://hdl.handle.net/11104/0344900File Download Size Commentary Version Access 0560991.pdf 2 493.9 KB Open Access - CC licence Publisher’s postprint open-access - 3.0560405 - ÚJF 2023 RIV NL eng J - Journal Article
Exner, Pavel - Nakamura, S. - Tadano, Y.
Continuum limit of the lattice quantum graph Hamiltonian.
Letters in Mathematical Physics. Roč. 112, č. 4 (2022), č. článku 83. ISSN 0377-9017. E-ISSN 1573-0530
R&D Projects: GA ČR(CZ) GA21-07129S
Institutional support: RVO:61389005
Keywords : Lattice quantum graph * Vertex delta-coupling * Schrodinger operator * Norm-resolvent convergence
OECD category: Pure mathematics
Impact factor: 1.2, year: 2022
Method of publishing: Limited access
https://doi.org/10.1007/s11005-022-01576-5
Permanent Link: https://hdl.handle.net/11104/0333324 - 4.0547649 - ÚJF 2022 RIV GB eng J - Journal Article
Khrabustovskyi, Andrii - Post, O.
A geometric approximation of delta-interactions by Neumann Laplacians.
Journal of Physics A-Mathematical and Theoretical. Roč. 54, č. 46 (2021), č. článku 465201. ISSN 1751-8113. E-ISSN 1751-8121
R&D Projects: GA ČR(CZ) GA21-07129S
Institutional support: RVO:61389005
Keywords : Delta-interaction * singularly perturbed domains * Neumann Laplacian * norm resolvent convergence * operator estimates * spectral convergence
OECD category: Atomic, molecular and chemical physics (physics of atoms and molecules including collision, interaction with radiation, magnetic resonances, Mössbauer effect)
Impact factor: 2.331, year: 2021
Method of publishing: Limited access
https://doi.org/10.1088/1751-8121/ac2d52
Permanent Link: http://hdl.handle.net/11104/0323842 - 5.0475714 - ÚJF 2018 RIV DE eng J - Journal Article
Behrndt, J. - Exner, Pavel - Holzmann, M. - Lotoreichik, Vladimir
Approximation of Schrodinger operators with delta-interactions supported on hypersurfaces.
Mathematische Nachrichten. Roč. 290, 8-9 (2017), s. 1215-1248. ISSN 0025-584X. E-ISSN 1522-2616
R&D Projects: GA ČR(CZ) GA14-06818S
Institutional support: RVO:61389005
Keywords : Schrodinger operators * delta-interactions supported on hypersurfaces * approximation by scaled regular potentials * norm resolvent convergence * spectral convergence
OECD category: Pure mathematics
Impact factor: 0.843, year: 2017
Permanent Link: http://hdl.handle.net/11104/0272359 - 6.0473567 - ÚJF 2018 RIV US eng J - Journal Article
Kondej, S. - Krejčiřík, David
Asymptotic spectral analysis in colliding leaky quantum layers.
Journal of Mathematical Analysis and Applications. Roč. 446, č. 2 (2017), s. 1328-1355. ISSN 0022-247X. E-ISSN 1096-0813
R&D Projects: GA ČR(CZ) GA14-06818S
Institutional support: RVO:61389005
Keywords : quantum layers * leaky graphs * Delta interaction supported on hypersurfaces * Norm-resolvent convergence * non-self-adjoint interaction
OECD category: Applied mathematics
Impact factor: 1.138, year: 2017
Permanent Link: http://hdl.handle.net/11104/0270699 - 7.0384331 - ÚJF 2013 RIV SG eng J - Journal Article
Krejčiřík, David - Šediváková, Helena
The effective Hamiltonian in curved quantum waveguides under mild regularity assumptions.
Reviews in Mathematical Physics. Roč. 24, č. 7 (2012), 1250018/1-1250018/39. ISSN 0129-055X. E-ISSN 1793-6659
R&D Projects: GA MŠMT LC06002; GA ČR GAP203/11/0701
Institutional support: RVO:61389005
Keywords : quantum waveguides * thin-width limit * effective Hamiltonian * twisting versus bending * norm-resolvent convergence * Dirichlet Laplacian * curved tubes * relatively parallel frame * Steklov approximation
Subject RIV: BE - Theoretical Physics
Impact factor: 1.092, year: 2012
Permanent Link: http://hdl.handle.net/11104/0217004